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Statistical error in particle simulations of low Mach number flows

机译:低马赫数流的粒子模拟中的统计误差

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We present predictions for the statistical error due to finite sampling in the presence of thermal fluctuations in molecular simulation algorithms. The expressions are derived using equilibrium statistical mechanics. The results show that the number of samples needed to adequately resolve the flowfield scales as the inverse square of the Mach number. Agreement of the theory with direct Monte Carlo simulations shows that the use of equilibrium theory is justified.
机译:我们在分子模拟算法中存在热波动存在的有限取样引起的统计误差的预测。表达式使用均衡统计力学来源。结果表明,充分解析流场比例所需的样本数量作为马赫数的逆平方。理论与直接蒙特卡罗模拟的协议表明,均衡理论的使用是合理的。

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